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@article{TRSPY_1999_227_a6, author = {V. V. Vlasov}, title = {On the {Solvability} and {Estimates} of {Solutions} to {Functional} {Differential} {Equations} in {Sobolev} {Spaces}}, journal = {Informatics and Automation}, pages = {109--121}, publisher = {mathdoc}, volume = {227}, year = {1999}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/TRSPY_1999_227_a6/} }
TY - JOUR AU - V. V. Vlasov TI - On the Solvability and Estimates of Solutions to Functional Differential Equations in Sobolev Spaces JO - Informatics and Automation PY - 1999 SP - 109 EP - 121 VL - 227 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TRSPY_1999_227_a6/ LA - ru ID - TRSPY_1999_227_a6 ER -
V. V. Vlasov. On the Solvability and Estimates of Solutions to Functional Differential Equations in Sobolev Spaces. Informatics and Automation, Investigations in the theory of differentiable functions of many variables and its applications. Part 18, Tome 227 (1999), pp. 109-121. http://geodesic.mathdoc.fr/item/TRSPY_1999_227_a6/
[1] Lions Zh. L., Madzhenes E., Neodnorodnye granichnye zadachi i ikh prilozheniya, Mir, M., 1971 | Zbl
[2] Stein I., Singulyarnye integraly i differentsialnye svoistva funktsii, Mir, M., 1973 | MR
[3] Khille E., Fillips R., Funktsionalnyi analiz i polugruppy, Izd-vo inostr. lit., M., 1962 | MR
[4] Azbelev N. V., Maksimov V. P., Rakhmatullina L. F., Vvedenie v teoriyu funktsionalno-differentsialnykh uravnenii, Nauka, M., 1991 | MR | Zbl
[5] Myshkis A. D., Lineinye differentsialnye uravneniya s zapazdyvayuschim argumentom, Nauka, M., 1972 | MR | Zbl
[6] Kheil Dzh., Teoriya funktsionalno-differentsialnykh uravnenii, Mir, M., 1984 | MR
[7] Kolmanovskii V. B., Nosov V. R., Ustoichivost i periodicheskie rezhimy reguliruemykh sistem s posledeistviem, Nauka, M., 1981 | MR
[8] Kurbatov V. G., Lineinye differentsialno-raznostnye uravneniya, Izd-vo VGU, Voronezh, 1990 | MR | Zbl
[9] Datko R., “Representation of solutions and stability of differential-difference equations in a Bansch space”, J. Diff. Equat., 29:1 (1978), 105–166 | DOI | MR
[10] Staffans O., “Some well-posed functional equations which generate semigroups”, J. Diff. Equat., 58:2 (1985), 157–191 | DOI | MR | Zbl
[11] Wu J., “Semigroup and integral form of a class of partial differential equations with infinite delay”, Diff. and Integr. Equat., 4:6 (1991), 1325–1351 | MR | Zbl
[12] Nakagiri S., “Structural properties of functional differential equations in Banach space”, Osaka J. Math., 85 (1988), 353–398 | MR
[13] Kunisch K., Shappacher W., “Necessary conditions for partial differential equations with delay to generate a $C^0$-semigroup”, J. Diff. Equat., 50 (1983), 49–79 | DOI | MR | Zbl
[14] Di Blasio G., Kunisch K., Sinestrari E., “$L^2$-regularity for parabolic partial integrodifferential equations with delays in the highest order derivatives”, J. Math. Anal. and Appl., 102 (1984), 38–57 | DOI | MR | Zbl
[15] Kunisch K., Maštinsěk M., “Dual semigroups and structural operators for partial functional differential equations with unbounded operators acting on the delays”, Diff. and Integr. Equat., 3:4 (1990), 733–756 | MR | Zbl
[16] Vlasov V. V., “O razreshimosti i svoistvakh reshenii funktsionalno-differentsialnykh uravnenii v gilbertovom prostranstve”, Mat. sb., 186:8 (1995), 67–92 | MR | Zbl
[17] Vlasov V. V., “Korrektnaya razreshimost odnogo klassa funktsionalno-differentsialnykh uravnenii v gilbertovom prostranstve”, Dokl. RAN, 345:6 (1995), 733–736 | MR | Zbl
[18] Vlasov V. V., “Korrektnaya razreshimost odnogo klassa differentsialnykh uravnenii s otklonyayuschimsya argumentom v gilbertovom prostranstve”, Izv. vuzov. Matematika, 1996, no. 1, 22–35 | MR | Zbl
[19] Vlasov V. V., “Ob odnom klasse funktsionalno-differentsialnykh uravnenii s zapazdyvayuschim argumentom v gilbertovom prostranstve”, Mat. zametki, 62:5 (1997), 782–786 | MR | Zbl
[20] Vlasov V. V., “O razreshimosti odnogo klassa differentsialnykh uravnenii s otklonyayuschimsya argumentom v gilbertovom prostranstve”, Izv. vuzov. Matematika, 1994, no. 6, 28–38 | MR | Zbl
[21] Vlasov V. V., “O nekotorykh svoistvakh reshenii funktsionalno-differentsialnykh uravnenii v gilbertovom prostranstve”, UMN, 49:3 (1994), 175–176 | MR | Zbl
[22] Vlasov V. V., “Ob odnom klasse differentsialno-raznostnykh uravnenii v gilbertovom prostranstve i nekotorykh spektralnykh voprosakh”, Dokl. RAN, 327:4–6 (1992), 428–432 | Zbl
[23] Vlasov V. V., “O nekotorykh svoistvakh reshenii differentsialnykh uravnenii s posledeistviem v gilbertovom prostranstve”, Izv. vuzov. Matematika, 1993, no. 5, 24–35 | MR | Zbl
[24] Radzievskii G. V., “O bazisnosti proizvodnykh tsepochek”, Izv. AN SSSR. Ser. mat., 39:5 (1975), 1182–1218 | MR | Zbl